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Finding the Fourth Proportional to 1,750.24, 2,415.32 and 964.28

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Solution

The fourth proportional to 1,750.24, 2,415.32 and 964.28 is: 1,330.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.24 : 2,415.32 = 964.28 : x
  2. Step 2: Convert to fraction form
    1,750.24/2,415.32 = 964.28/x
  3. Step 3: Cross multiply
    1,750.24x = 2,415.32 × 964.28
  4. Step 4: Simplify right side
    1,750.24x = 2,329,044.77
  5. Step 5: Solve for x
    x = 2,329,044.77/1,750.24
  6. Step 6: Final answer
    x = 1,330.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.